Hash indexes can't be used for primary keys:

   postgres[7878][1]=# SELECT amname, pg_indexam_has_property(oid, 'can_unique') FROM pg_am WHERE amtype = 'i';
   ┌────────┬─────────────────────────┐
   │ amname │ pg_indexam_has_property │
   ├────────┼─────────────────────────┤
   │ btree  │ t                       │
   │ hash   │ f                       │
   │ gist   │ f                       │
   │ gin    │ f                       │
   │ spgist │ f                       │
   │ brin   │ f                       │
   └────────┴─────────────────────────┘
   (6 rows)

And postgres' btree indexes definitely are affected by the randomness in many UUID generation schemes.